Which of the Three Series Below Converges?
1) $\sum _ { n = 1 } ^ { \infty } \left( \frac { 2 n - 1 } { 3 n } \right) ^ { n }$

Multiple Choice

Which of the three series below converges?
1) $\sum _ { n = 1 } ^ { \infty } \left( \frac { 2 n - 1 } { 3 n } \right) ^ { n }$
2) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 2 ^ { n } + n }$
3) $\sum _ { n = 1 } ^ { \infty } \frac { 2 ^ { n } + ( - 3 ) ^ { n } } { 3 ^ { n } }$

A) None
B) 1
C) 2
D) 3
E) 1, 2
F) 1, 3
G) 2, 3
H) 1, 2, 3